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Finding the Fourth Proportional to 98,051.10, 147,078.09 and 24,179.10

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Solution

The fourth proportional to 98,051.10, 147,078.09 and 24,179.10 is: 36,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.10 : 147,078.09 = 24,179.10 : x
  2. Step 2: Convert to fraction form
    98,051.10/147,078.09 = 24,179.10/x
  3. Step 3: Cross multiply
    98,051.10x = 147,078.09 × 24,179.10
  4. Step 4: Simplify right side
    98,051.10x = 3,556,215,845.92
  5. Step 5: Solve for x
    x = 3,556,215,845.92/98,051.10
  6. Step 6: Final answer
    x = 36,269.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.